Question 11
Monica, who is 18 years old, is one-third the age of her father. The age at which she will be half the age of her father is ____
Correct Answer: 36
Solution
Age of Monica = 18
Age of Monica's father = 3 * 18 = 54
Let us assume that after x years, Monica's age will be half that of her father's age.
=> $$18+x=\dfrac{1}{2}\left(54+x\right)$$
=> $$36+2x=54+x$$
=> $$x=18$$
Thus, after 18 years, Monica's age will be half that of her father's age. At that time, Monica will be = 18 + 18 = 36.
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